When the order doesn't matter, it is a Combination. When the order does matter it is a Permutation. So, we should really call this a "Permutation Lock"! In other words: A Permutation is an ordered …

Permutations are used in almost every branch of mathematics and in many other fields of science. In computer science, they are used for analyzing sorting algorithms; in quantum physics, for describing …

Nov 28, 2025 · Permutations and combinations, the various ways in which objects from a set may be selected, generally without replacement, to form subsets. This selection of subsets is called a …

Permutations can be used to compute complex probability problems. For example, we can use permutations to determine the probability that a 6 digit personal identification number (PIN) has no …

Dec 20, 2025 · Permutation is the arrangement of items in which the order of selection matters. A combination is selecting items without considering order. For example, in the diagram below, PQ and …

Dec 3, 2025 · A permutation, also called an "arrangement number" or "order," is a rearrangement of the elements of an ordered list into a one-to-one correspondence with itself. The number of permutations …

Permutations are used when order/sequence of arrangement is needed. Combinations are used when only the number of possible groups are to be found, and the order/sequence of arrangements is not …

All possible arrangements or permutations of a,b,c,d. Permutations are important in a variety of counting problems (particularly those in which order is important), as well as various other areas of …

Nov 10, 2025 · We often encounter situations where we have a set of n objects and we are selecting r objects to form permutations. We refer to this as permutations of n objects taken r at a time, and we …

Permutation is a fundamental concept in combinatorics and mathematics, used to count the number of ways elements can be arranged or ordered. Whether you're solving problems in probability, algebra, …